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A two-year long forward contract on a non-dividend-paying stock is entered into when the stock price is $73 and the risk-free rate of interest is

A two-year long forward contract on a non-dividend-paying stock is entered into when the stock price is $73 and the risk-free rate of interest is 5% per annum with continuous compounding.

  1. What are the forward price and the initial value of the forward contract?
  2. Six months later, the price of the stock is $77.5 and the risk-free interest rate is still 5%. What are the forward price and the value of the contract?
  3. If the stock pays a dividend of $3.5 twice a year (ie. Pay $3.5 every six months), what is the forward price?

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